Exploring Rational Bezier Curves through Iterated Function Systems

摘要

Bezier and rational Bezier curves are important elements in computer aided geometric design (CAGD) due to their capability to represent both the free-form setting and the algebraic one as well. Therefore, such curves are popularly accepted as a standard representation for designing problems. The purpose of this paper is to present the rational Bezier curves as attractors of some iterated function systems.